Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$x-21=2 { x }^{ 2 }$$

Answer

x=-(-1+sqrt(167)*IM)/4,-(-1-sqrt(167)*IM)/4

Solution


Move all terms to one side.
\[x-21-2{x}^{2}=0\]
Use the Quadratic Formula.
\[x=\frac{-1+\sqrt{167}\imath }{-4},\frac{-1-\sqrt{167}\imath }{-4}\]
Simplify solutions.
\[x=-\frac{-1+\sqrt{167}\imath }{4},-\frac{-1-\sqrt{167}\imath }{4}\]
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